Lecture
This lecture covers the concepts of differentiability and continuity in advanced analysis, focusing on functions in open sets of R4. The instructor reviews the definitions and properties of differentiability, emphasizing the importance of continuity. The lecture demonstrates examples and calculations to illustrate the concepts of differentiability and continuity, providing insights into the behavior of functions at specific points. Various theorems and demonstrations are presented to deepen the understanding of differentiability and continuity in mathematical analysis.